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Mathematics Knowledge Advanced Flashcards

7 cards from real AFQT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Mathematics Knowledge Advanced flashcards as text

  1. What is the value of 2³ × 2⁴?

    Answer: 2⁷

    When multiplying powers with the same base, add exponents: 2^(3+4) = 2⁷.

  2. A rectangular room is 12 ft by 15 ft. How many square feet of carpet are needed to cover the floor?

    Answer: 180 sq ft

    Area = length × width = 12 × 15 = 180 square feet.

  3. What is the value of sin(30°)?

    Answer: 1/2

    sin(30°) = 1/2 is a standard trigonometric value.

  4. If a line passes through (0, -3) and (4, 5), what is its equation?

    Answer: y = 2x − 3

    Slope = (5−(−3))/(4−0) = 8/4 = 2; y-intercept = −3, so y = 2x − 3.

  5. What is the least common multiple (LCM) of 12 and 18?

    Answer: 36

    12 = 2²×3 and 18 = 2×3²; LCM = 2²×3² = 36.

  6. Expand: (3x − 2)(x + 5)

    Answer: 3x² + 13x − 10

    FOIL: 3x·x + 3x·5 + (−2)·x + (−2)·5 = 3x² + 15x − 2x − 10 = 3x² + 13x − 10.

  7. What is the volume of a rectangular prism with length 6, width 4, and height 3?

    Answer: 72

    Volume = length × width × height = 6 × 4 × 3 = 72.